SSC CGL Tier 1 2014 General Intelligence & Reasoning Questions with Solutions

Explanation

The series is composed of numbers that are perfect cubes of integers, except for the number 81. The values in the series can be expressed as 27 = 3³, 1331 = 11³, and 125 = 5³. In contrast, 81 is a perfect square (9²) or a fourth power (3⁴), but it is not a perfect cube of an integer. Therefore, 81 does not follow the mathematical pattern established by the other elements in the set.

Explanation

The series follows a logical pattern where each subsequent term is obtained by adding an increasing even integer to the previous term. By calculating the differences between the consecutive numbers provided in the sequence, the following progression is identified:

23 - 17 = 6 31 - 23 = 8 41 - 31 = 10 53 - 41 = 12

The differences forming the pattern are 6, 8, 10, 12, which is a sequence of consecutive even numbers. To find the next term in the series according to this rule, the next even number, 14, must be added to the last correct term, 53.

53 + 14 = 67

In the given series, the final number is 69 instead of the mathematically expected 67. Therefore, 69 is the wrong number in the sequence as it deviates from the established arithmetic pattern of increasing differences.

Explanation

Let the number of boys be B and the number of girls be G. The problem states that the ratio of girls to boys is 90%, which gives the relation G = 0.9B. The total population is given by the equation G + B = 190.

Substituting the value of G into the total population equation: 0.9B + B = 190 1.9B = 190 B = (190)/(1.9) = 100

To find the number of girls, subtract the number of boys from the total population: G = 190 - 100 = 90

Alternatively, since the ratio is 90:100, the parts of the ratio sum to 90 + 100 = 190. Because the actual total is also 190, the number of girls corresponds directly to the 90 parts in the ratio.

Explanation

When two objects move towards each other from two different points, their relative speed is the sum of their individual speeds. In this case, the relative speed of the two buses is 38 + 37 = 75 km per hour. The total distance between Delhi and Agra is 300 km. Using the standard formula Time = Distance / Relative Speed, the time taken for the buses to cross each other is 300 / 75, which equals 4 hours.

Explanation

To ensure a perfect pair (one left-hand and one right-hand glove of the same type), we must consider the worst-case scenario. There are 12 pairs each of three types, totaling 36 left-hand and 36 right-hand gloves (72 total). In the worst case, one could pick all 36 left-hand gloves (12 of Type A, 12 of Type B, and 12 of Type C) without forming a single matching pair. The 37th glove must then be a right-hand glove of Type A, B, or C, which will inevitably complete a pair with one of the 36 gloves already drawn.

Explanation

The word INITIAL cannot be formed because it requires the letter T, which is not present in the given word PROVINCIALISM. While the original word contains three Is, one N, one A, and one L, the absence of the letter T makes it impossible to construct INITIAL.

Explanation

The word PARADE cannot be formed because it requires two instances of the letter A. The source word DEPARTMENT contains only one letter A, making it impossible to construct any word that necessitates multiple occurrences of that specific vowel.

Explanation

The word CONNOTE requires two instances of the letter O. However, the source word UNCONTAMINATED contains only one letter O. Since there are an insufficient number of Os available in the given word, CONNOTE cannot be formed.

Explanation

The coding pattern involves keeping the letters at odd-numbered positions (1st, 3rd, 5th) unchanged while shifting the letters at even-numbered positions (2nd, 4th) two places backward in the alphabetical order.

Applying this logic to PROSE: P remains P R moves two steps back to P O remains O S moves two steps back to Q E remains E The resulting code is PPOQE.

Applying the same logic to LIGHT: L remains L I moves two steps back to G G remains G H moves two steps back to F T remains T The resulting code is LGGFT.

Explanation

The coding pattern involves taking the last four letters of the word, reversing their order, and placing them at the beginning. The remaining letters from the start of the word are then appended in their original sequence.

In the word DEVELOPMENT, which has eleven letters, the last four letters are M-E-N-T. Reversing them gives T-N-E-M. The first seven letters are D-E-V-E-L-O-P. Combining these results in TNEMDEVELOP.

Applying this logic to EVALUATION, which has ten letters, the last four letters are T-I-O-N. Reversing these gives N-O-I-T. The remaining first six letters are E-V-A-L-U-A. Concatenating the two parts results in NOITEVALUA.

Explanation

The numerical value of each word is determined by the sum of the positional values of its constituent letters in the English alphabet, where A = 1, B = 2, C = 3, and so on.

For the letter H, the position is 8. For the word HAT, the sum is calculated as H (8) + A (1) + T (20) = 29.

Applying the same logic to the word BOX, the positional values are B = 2, O = 15, and X = 24. Adding these values together gives 2 + 15 + 24 = 41.

Explanation

To verify the equation 64 - 8 × 9 × 8 = 64, the proposed sign interchanges are evaluated using the standard order of operations (BODMAS). Applying the swap between addition and subtraction yields 64 + 8 × 9 × 8 = 64 + 576 = 640. Applying the swap between division and multiplication results in 64 - 8 ÷ 9 ÷ 8 = 64 - 0.111 ≈ 63.89. Applying the swap between subtraction and multiplication requires changing the subtraction sign to multiplication and both multiplication signs to subtraction, resulting in 64 × 8 - 9 - 8 = 512 - 17 = 495. As these calculations result in values of 640, 63.89, and 495 respectively, the equation remains incorrect under all specified sign interchanges.

Explanation

Based on the standard mapping used in these types of reasoning questions, the operations are: + stands for division (/), × stands for addition (+), - stands for multiplication (*), and ÷ stands for subtraction (-). Evaluating Option C: 15 / 5 * 2 - 6 + 3 = 3 * 2 - 6 + 3 = 6 - 6 + 3 = 3, which matches the equation. All other options fail to produce the stated result using this consistent symbol mapping.

Explanation

The operation followed in the given equations is the calculation of the arithmetic mean (average) of the two numbers.

In the first equation, the sum of 73 and 17 is 90. Dividing this sum by 2 gives the result: (73 + 17)/(2) = ⁹⁰⁄₂ = 45

In the second equation, the sum of 68 and 40 is 108. Dividing this sum by 2 gives the result: (68 + 40)/(2) = ¹⁰⁸⁄₂ = 54

Following the same logic for the unsolved equation, we find the sum of 83 and 15 and divide it by 2: (83 + 15)/(2) = ⁹⁸⁄₂ = 49

Explanation

The logic applied in the given equations is A × (B - 1) = Result, where A is the first number and B is the second number.

In the first equation, 7 × 8 = 49, we have 7 × (8 - 1) = 7 × 7 = 49. In the second equation, 4 × 4 = 12, we have 4 × (4 - 1) = 4 × 3 = 12. In the third equation, 6 × 4 = 18, we have 6 × (4 - 1) = 6 × 3 = 18.

Following this pattern for the required calculation, 9 × 6, the result is 9 × (6 - 1) = 9 × 5 = 45.

Explanation

To determine the direction of D from C, we can plot the points on a coordinate system. Let B be the reference point at the origin (0, 0). Since A is located to the West of B, its position is (-x, 0). C is located to the North and horizontally between A and B, which places its coordinates at (-x/2, y), where y > 0. D is located exactly South of B, which means its coordinates are (0, -z), where z > 0.

By comparing the positions of C (-x/2, y) and D (0, -z), we can see that to move from C to D, one must move in the positive x-direction (East) to get from -x/2 to 0, and in the negative y-direction (South) to get from y to -z. The combination of moving South and East places point D in the South-East direction relative to point C.

Explanation

Deepak starts at an initial point and walks 20 metres North. Turning left, he walks 40 metres West. Turning left again while facing West means he now faces South; walking 20 metres South brings him to a point exactly 40 metres West of his starting position, because the Northward and Southward movements of 20 metres cancel each other out. Finally, from this position, facing South, a right turn directs him further West. Walking an additional 20 metres in this direction adds to his previous Westward displacement. The total distance from the original position is the sum of these two Westward segments: 40 metres + 20 metres = 60 metres.

Explanation

In formal logic, the quantifier some denotes at least one and does not logically imply some are not. Statement I only confirms the existence of at least one intelligent student but provides no information about the rest of the student population, making Conclusion 1 invalid. Regarding Conclusion 2, Statement II places Ankita within the category of students. However, Statement I only establishes an intersection between students and intelligent individuals without distributing the term students. Since we do not know if Ankita belongs to the specific subset of students who are intelligent, her intelligence cannot be definitively concluded. Thus, neither conclusion logically follows from the given premises.

Explanation

Based on the first statement, every watch available in the shop is made of white metal. The second statement indicates that a portion of the Rico watch collection is sold in that specific shop. By logical syllogism, any Rico watch sold in that shop must necessarily be made of white metal because it belongs to the set of all watches in the shop.

Inference 2 is valid because the existence of Rico watches in the shop (which are all white metal) proves that at least some Rico watches are made of white metal. Inference 4 is valid as it directly describes the intersection of Rico watches and the shop's inventory, confirming that those Rico watches present in the shop are indeed made of white metal. Therefore, both inferences 2 and 4 follow logically from the given premises.

Explanation

The relationship in the first pair is based on opposites, where natural and artificial are antonyms. Cotton is a natural fiber obtained from the Gossypium plant. To maintain the same relationship, the second term must be an artificial or synthetic fiber. Nylon is a synthetic polymer, specifically a polyamide, which was the first fiber to be made entirely from inorganic materials like coal, water, and air, making it the artificial counterpart in this analogy.

Explanation

The relationship established in the first pair is that of an action and its corresponding logical consequence. A crime is a wrongful act that results in punishment as a penalty. Similarly, honesty is a virtuous quality or act that results in a reward as a positive consequence or incentive. In the study of verbal analogies, punishment and reward are the standard reciprocal outcomes for negative and positive conduct within social and moral frameworks.

Explanation

The relationship between the first two groups of letters is based on a direct alphabetical shift of +1 for each letter. Specifically, the first letter V is followed by W, O is followed by P, H is followed by I, and A is followed by B.

Applying this same logic to the third group CJQX: C + 1 = D J + 1 = K Q + 1 = R X + 1 = Y

By shifting every letter in CJQX forward by one position in the English alphabet, we arrive at the sequence DKRY.

Explanation

The pattern is based on dividing the word into pairs of adjacent letters and reversing the order of the letters within each pair. For the word PRINTING, the letters are grouped as (P,R), (I,N), (T,I), and (N,G). Reversing each group results in (R,P), (N,I), (I,T), and (G,N), which combined forms RPNIITGN. Applying this same logic to PROTOCOL, the pairs are (P,R), (O,T), (O,C), and (O,L). Reversing these pairs gives (R,P), (T,O), (C,O), and (L,O). When joined together, they form the sequence RPTOCOLO.

Explanation

The logic followed in this analogy is (n/2) + 1. For the first pair, the relationship is 20 / 2 + 1 = 11. Applying the same mathematical operation to the second pair, we calculate 102 / 2 + 1 = 51 + 1 = 52. Alternatively, the pattern can be seen as 2x - 2, where 2 × 11 - 2 = 20, and solving 2x - 2 = 102 yields x = 52.

Explanation

The relationship between the first pair of numbers is established by subtracting 1111 from the first term to obtain the second term (6415 - 1111 = 5304). Alternatively, each individual digit in the number 6415 is decreased by 1 to arrive at the digits of 5304. Applying the same logic to the third number, subtracting 1111 from 7896 results in 7896 - 1111 = 6785. Performing the digit-wise subtraction on 7896 (7-1=6, 8-1=7, 9-1=8, 6-1=5) also yields 6785.

Explanation

Taxonomy is a branch of biological science concerned with the classification, naming, and identification of living organisms. While it follows systematic principles, it is distinct from the other disciplines which are categorized as social sciences focused on the study of human behavior, mental processes, and societal development. Anthropology, psychology, and sociology all center on the human experience and social structures, whereas taxonomy is a fundamental practice in the field of biology used to categorize all forms of life.

Explanation

The pair Pressure : Barometer is the odd one out because it represents a relationship between a physical quantity and the instrument used to measure it. In the other pairs, the relationship is between a physical quantity and its standard unit of measurement. While seconds, metres, and litres are units used to quantify time, length, and volume, a barometer is a device used to measure atmospheric pressure rather than being a unit of pressure itself.

Explanation

The number 36 is a perfect square, as 6² = 36. It is also not divisible by 7, whereas the other numbers provided in the group are all multiples of 7, with 56 = 7 × 8, 21 = 7 × 3, and 35 = 7 × 5.

Explanation

The relationship between the numbers is defined by the formula n : n³ + 3. For the value 9, the calculation yields 9³ + 3 = 729 + 3 = 732. The value 731 does not comply with this mathematical pattern.

Explanation

The word ADORE is the odd one out because it contains three vowels (A, O, and E) and only two consonants (D and R). It is also the only word in the group that does not contain the letter L.

Explanation

In the series IKNRW, the numerical positions of the letters in the English alphabet are I=9, K=11, N=14, R=18, and W=23. The number of letters skipped between two adjacent letters is determined by the formula Skip = (Positionₙ₊₁ - Positionₙ) - 1.

Between I and K, the number of letters skipped is (11 - 9) - 1 = 1 (the letter J). Between K and N, the number of letters skipped is (14 - 11) - 1 = 2 (the letters L and M). Between N and R, the number of letters skipped is (18 - 14) - 1 = 3 (the letters O, P, and Q). Between R and W, the number of letters skipped is (23 - 18) - 1 = 4 (the letters S, T, U, and V).

The sequence of skipped letters is 1, 2, 3, 4, which confirms that the number of letters skipped increases by exactly one between each adjacent pair.

Explanation

The items follow a logical sequence based on the biological and chemical production process of dairy products. The sequence begins with the Cow (D), which is the source that provides Milk (B). The milk is then processed or fermented to produce Curd (C). From the curd, Butter (E) is extracted, typically through the process of churning. Finally, Ghee (A) is obtained by heating and clarifying the butter to remove moisture and milk solids. This progression from the source animal to the final refined product results in the order (D), (B), (C), (E), and (A).

Explanation

Dictionary order is determined by comparing letters of each word sequentially from left to right. All words provided share the first four letters CONC. The fifth letter in Conceive (D), Conception (B), Concerned (E), and Concession (A) is E, whereas in Conciliator (C) it is I. Alphabetically, E comes before I, which places Conciliator (C) as the final word in this set. For the four words starting with CONCE, the sixth letter must be compared to determine their relative order. Conceive (D) has I, Conception (B) has P, Concerned (E) has R, and Concession (A) has S. The alphabetical sequence of these sixth letters is I, P, R, S. This identifies the order of these four words as (D), (B), (E), (A). Adding (C) at the end results in the full dictionary sequence of (D), (B), (E), (A), (C).

Explanation

The series is based on an alternating pattern of three-letter blocks. By dividing the series into groups of three, the structure is identified as a _ c | a _ c | a _ c | a a _.

Using the letters from option b (cacc) to fill the gaps sequentially: The first gap is filled with c, creating the block acc. The second gap is filled with a, creating the block aac. The third gap is filled with c, creating the block acc. The fourth letter c completes the final block as aac.

The resulting series is acc aac acc aac, which follows a repetitive alternating pattern of the units acc and aac.

Explanation

The series is formed by an increment of two positions in the alphabet for every letter in the sequence. In the first position, the sequence M, O, Q progresses by adding 2 to the alphabetical rank of each letter to reach S. In the second position, the sequence N, P, R follows the same +2 pattern to reach T. In the third position, the sequence B, D, F advances by two to reach H. Finally, in the fourth position, the sequence A, C, E follows the +2 increment to reach G. Combining these determined letters in their respective order results in the group STHG.

Explanation

The series follows a geometric pattern where each subsequent term is obtained by dividing the previous term by 2. Mathematically, this is expressed as aₙ = aₙ₋₁ × ½. Following this logic, the first term 512 ÷ 2 = 256, the second term 256 ÷ 2 = 128, and the third term 128 ÷ 2 = 64. This is further confirmed as 64 ÷ 2 = 32, which is the next term in the sequence. Alternatively, the series represents descending powers of 2, specifically 2⁹, 2⁸, 2⁷, 2⁶, 2⁵, 2⁴, 2³, where the missing value 2⁶ equals 64.

Explanation

The series follows the mathematical pattern xₙ = (xₙ₋₁ × 5) - 20. Applying this rule to the given numbers: The second term is 30 × 5 - 20 = 150 - 20 = 130. The third term is 130 × 5 - 20 = 650 - 20 = 630. Following the same logic, the fourth term is 630 × 5 - 20 = 3150 - 20 = 3130.

Alternatively, the differences between consecutive terms follow a geometric progression with a common ratio of 5. The first difference is 130 - 30 = 100. The second difference is 630 - 130 = 500, which is 100 × 5. The next difference in the sequence must be 500 × 5 = 2500. Adding this difference to the third term gives 630 + 2500 = 3130.

Explanation

Let the age of Z be z. According to the problem, Y is twice as old as Z, so Y = 2z. X is four years older than Y, so X = 2z + 4. The sum of the ages of X, Y, and Z is given as 34. Substituting the expressions for X and Y in terms of z into the equation X + Y + Z = 34 gives:

(2z + 4) + 2z + z = 34 5z + 4 = 34 5z = 30 z = 6

Since z = 6, the age of X is 2z + 4 = 2(6) + 4 = 12 + 4 = 16.

Explanation

The phrase my mother's only daughter refers to Radha herself, as she is the one speaking. According to the statement, Vinod's sister is Radha. Therefore, Radha is the sister of Vinod.

Explanation

The proficiency of each person can be determined by analyzing the provided groupings. According to the text, Purnima is explicitly mentioned in the group of individuals who are good in Physics and History. Additionally, Purnima is included in the group identified as being good in History and Dramatics. By aggregating these attributes, it is established that Purnima possesses the required combination of skills in Physics, History, and Dramatics.

Explanation

The word LIMITED can be formed using the letters of IMMEDIATELY because every letter required for LIMITED is present in the source word in the necessary quantity. The word IMMEDIATELY contains the letters I (two), M (two), E (two), D (one), A (one), T (one), L (one), and Y (one). To construct LIMITED, we need one L, two Is, one M, one T, one E, and one D. Since all these letters are available within the source word, LIMITED is the word that can be formed.

Explanation

The word BOATMAN requires the letter A to appear twice. However, the source word TAMBOURINE contains the letter A only once. Since the available letters in the source word are T, A, M, B, O, U, R, I, N, and E, and there is no second A to fulfill the requirements of the word BOATMAN, it cannot be formed.

Explanation

The given numerical sequence corresponds to the positions of letters in the English alphabet, where 1 represents A, 2 represents B, and the numbering continues sequentially to 26 for Z. Mapping the numbers 20, 5, 1, 3, 8, 5, and 18 to their respective alphabetic positions results in the letters T, E, A, C, H, E, and R. These letters combine to form the meaningful English word TEACHER.

Explanation

The coding logic follows a constant subtraction pattern where each letter of the word is shifted four places backward in the English alphabetical sequence. For the word JOSEPH, the transformation is calculated as J (10) - 4 = 6 (F), O (15) - 4 = 11 (K), S (19) - 4 = 15 (O), E (5) - 4 = 1 (A), P (16) - 4 = 12 (L), and H (8) - 4 = 4 (D).

Applying this same rule to the word GEORGE, the letters are transformed as follows: G (7) - 4 = 3 (C), E (5) - 4 = 1 (A), O (15) - 4 = 11 (K), R (18) - 4 = 14 (N), G (7) - 4 = 3 (C), and E (5) - 4 = 1 (A). Combining these results produces the code CAKNCA.

Explanation

The code is determined by direct substitution where each letter corresponds to a specific digit based on the given words. From the word BUILDING (41527596), we find B = 4, I = 5, D = 7, and G = 6. From the word RIVER (85308), we find R = 8, I = 5, and E = 0. By selecting the corresponding digits for the letters in BRIDGE, we have B = 4, R = 8, I = 5, D = 7, G = 6, and E = 0. Combining these digits in order gives the code 485760.

Explanation

The code language uses a direct substitution method where each letter corresponds to a specific character. By analyzing the given examples, we can identify the mapping for each letter needed for the code фayμ. In the word CAR (фao), the first letter C corresponds to ф and the second letter A corresponds to a. In the word WELL (oiyy), the repeating letter L corresponds to the repeating character y. In the word MAP (μaβ), the first letter M corresponds to μ. Following this pattern, substituting the characters in фayμ with their corresponding letters gives C for ф, A for a, L for y, and M for μ, which correctly identifies the word as CALM.

Explanation

Distance is defined by the formula D = Speed × Time. Since the distance remains constant in both scenarios, the relationship S₁ × T₁ = S₂ × T₂ can be used. Substituting the given values S₁ = 340 km/hr and T₁ = 8 hours, and the target time T₂ = 2 ⅔ = ⁸⁄₃ hours:

340 × 8 = S₂ × ⁸⁄₃

S₂ = (340 × 8 × 3)/(8)

S₂ = 340 × 3 = 1020 km/hr.

Explanation

According to the rules of substitution provided in the question, the mathematical operators are redefined as follows: + becomes ÷, ÷ becomes ×, - becomes +, and × becomes -.

To find the value of the expression 8 ÷ 4 - 6 + 3 × 4, we first substitute the operators with their new meanings: 8 × 4 + 6 ÷ 3 - 4

Now, we solve the substituted expression using the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction):

First, perform the division operation: 6 ÷ 3 = 2 The expression now is: 8 × 4 + 2 - 4

Next, perform the multiplication operation: 8 × 4 = 32 The expression now is: 32 + 2 - 4

Finally, perform the addition and subtraction operations: 32 + 2 = 34 34 - 4 = 30

The resulting value is 30.

Explanation

The system used to solve these equations involves summing the individual digits of both numbers and then taking the square root of the resulting total. For the first equation, 58 × 12 = 4, the sum of the digits is (5+8) + (1+2) = 13 + 3 = 16, and √(16) = 4. In the second equation, 37 × 96 = 5, the sum of the digits is (3+7) + (9+6) = 10 + 15 = 25, and √(25) = 5. In the third equation, 11 × 20 = 2, the sum of the digits is (1+1) + (2+0) = 2 + 2 = 4, and √4 = 2. Applying this same logic to the unsolved equation 42 × 12, the sum of the digits is (4+2) + (1+2) = 6 + 3 = 9. Taking the square root of this sum gives √9 = 3.

Explanation

Substituting the mathematical signs ×, ÷, and - into the equation in the given sequence yields 33 × 11 ÷ 3 - 6 = 115. Following the BODMAS rule, we perform multiplication and division before subtraction. The term 33 × 11 ÷ 3 can be simplified by dividing 33 by 3 first to get 11, and then multiplying by 11 to obtain 121. Subtracting 6 from 121 results in 115, which matches the right-hand side and balances the equation.